Pattern formation in low Reynolds number plane Couette flow

Duguet Y, Schlatter P, Henningson DS (2009)


Publication Type: Conference contribution

Publication year: 2009

Publisher: Springer Science and Business Media Deutschland GmbH

Book Volume: 132

Pages Range: 93-96

Conference Proceedings Title: Springer Proceedings in Physics

Event location: Marburg, DEU

ISBN: 9783642030840

DOI: 10.1007/978-3-642-03085-7_22

Abstract

Plane Couette flow is the flow between two counter-sliding plates of velocity U separated by a gap 2h. It has a simple laminar solution with constant shear which is stable for all values of the Reynolds number (v is the kinematic viscosity of the fluid). However, transition to turbulence is observed experimentally above a threshold value of Re between 300 and 400. Whereas featureless turbulence is seen for Re ≥ 400, lower-Re experiments have shown a turbulent regime displaying spatio-temporal intermittency effects, notably the appearance of turbulent stripes, inclined with respect to the direction of the base flow, interspersed with quiescent, nearly laminar regions [1], see Figure 1. It is the ‘fspiral turbulence’ regime, so-called because it has also been identified in Taylor-Couette experiments. Similar patterns have also been numerically reproduced in a minimal-like computational domain (of size 10h in length and 40h in width), oriented against the inclination of one stripe [2]. This reduced computational box allows to understand locally the appearance and teh stability of these localised structures.

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APA:

Duguet, Y., Schlatter, P., & Henningson, D.S. (2009). Pattern formation in low Reynolds number plane Couette flow. In Bruno Eckhardt (Eds.), Springer Proceedings in Physics (pp. 93-96). Marburg, DEU: Springer Science and Business Media Deutschland GmbH.

MLA:

Duguet, Y., Philipp Schlatter, and D. S. Henningson. "Pattern formation in low Reynolds number plane Couette flow." Proceedings of the 12th EUROMECH European Turbulence Conference, ETC12 2009, Marburg, DEU Ed. Bruno Eckhardt, Springer Science and Business Media Deutschland GmbH, 2009. 93-96.

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